Jerome's chords are easier to change faster than my chords, but I call this more a skill. Try the different ways for your chords in barre, and than you can make conclusions.
Well, the thing about this C G D progression is that it's just a IV I V progression in the key of G. The I IV and V chords of *any* key are always easily available to you within three frets as long as you're playing the E or A shapes. The I and the IV are available without moving your hand if you're in the E form, and the I and the V are available without moving your hand if you're in the A form. That's what makes the barre so powerful, particularly for rock and roll and modern pop.